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325463040 = 21032571009
BaseRepresentation
bin10011011001100…
…010110000000000
3211200102020100200
4103121202300000
51131304304130
652143445200
711031250560
oct2331426000
9750366320
10325463040
11157796221
1290bb6800
13525749a6
1431320da0
151d88d760
hex13662c00

325463040 has 264 divisors, whose sum is σ = 1290101280. Its totient is φ = 74317824.

The previous prime is 325463023. The next prime is 325463051. The reversal of 325463040 is 40364523.

325463040 is a `hidden beast` number, since 3 + 25 + 4 + 630 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 325462995 and 325463013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322056 + ... + 323064.

Almost surely, 2325463040 is an apocalyptic number.

325463040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645050640).

325463040 is an abundant number, since it is smaller than the sum of its proper divisors (964638240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

325463040 is a wasteful number, since it uses less digits than its factorization.

325463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 325463040 is about 18040.5942252466. The cubic root of 325463040 is about 687.8607975087.

The spelling of 325463040 in words is "three hundred twenty-five million, four hundred sixty-three thousand, forty".